MODIFIKASI METODE CAUCHY DENGAN ORDE KONVERGENSI EMPAT
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Date
2017-01-10
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Abstract
This article discusses two modification of Cauchy’s method by using
Taylor’s expansion of second and third order to solve nonlinear equations.
Both methods have order of convergence four and need three function
evaluations per step, so that theirs efficiency index is 1.587. Furthermore, the
computational results show that the methods converge faster in obtaining
a simple root of the nonlinear equations compared to Newton and Cauchy’s
method.
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Keywords
Newton’s method, Cauchy’s method, order of convergence, efficiency index, nonlinear equation